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Finding the Fourth Proportional to 32,126.49, 48,163.77 and 13,420.86

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Solution

The fourth proportional to 32,126.49, 48,163.77 and 13,420.86 is: 20,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.49 : 48,163.77 = 13,420.86 : x
  2. Step 2: Convert to fraction form
    32,126.49/48,163.77 = 13,420.86/x
  3. Step 3: Cross multiply
    32,126.49x = 48,163.77 × 13,420.86
  4. Step 4: Simplify right side
    32,126.49x = 646,399,214.24
  5. Step 5: Solve for x
    x = 646,399,214.24/32,126.49
  6. Step 6: Final answer
    x = 20,120.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.